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arXiv · 2602.14723

Diffeomorphism Invariant Formulation of CP Violation

Alibordi Muhammad
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Abstract

We identify a fundamental tension between the standard formulation of CP violation and diffeomorphism invariance in general relativity. The effective Hamiltonian approach, while phenomenologically successful, relies on a preferred time foliation that is incompatible with general covariance. The CP-violating phases are scalars along the worldline of the decaying parent particle; however, the definition of masses and phases presupposes a local covariant structure, which becomes ill-defined near the origin where curvature is large and metric fluctuations become significant. We propose an information-geometric framework based on relative entropy, exploiting pure quantum states in particle and antiparticle Hilbert spaces. We show how the Sakharov conditions could be reinterpreted in terms of information-geometric quantities, although a fully rigorous phenomenological implementation remains to be developed.

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Alibordi Muhammad. 2026-02-16. Diffeomorphism Invariant Formulation of CP Violation. https://arxiv.org/abs/2602.14723

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